How do you integrate 3ye^3z dz using u substitution?

[stevecallaway]

Homework Statement

Needing to integrate 3ye^3z dz

Homework Equations

The Attempt at a Solution

I believe you use u substitution and u=3z du=3dz
Then you get yze^3z. Is this correct?

 

[LCKurtz]

If you differentiate yze^3z with respect to z do you get what you started with? I don't think so, but can you fix it?

 

[tnutty]

>>Then you get yze^3z. Is this correct?
No completely, you have an extra factor of z

 

[stevecallaway]

I believe differentiating ye^3z with respect to z will give 3ye^3z. Therefore, integrating 3ye^3z dz will be ye^3z. Correct?

 

[tnutty]

Yes.

 

[stevecallaway]

Sweet,thanks to the both of you